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Title: Some properties of $\alpha$-ideals and generalized $\alpha$-ideals, $n$-semigroups and $n$-groups (English)
Author: Chronowski, Antoni
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 44
Issue: 1
Year: 1994
Pages: 39-46
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Category: math
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MSC: 20M12
MSC: 20N15
idZBL: Zbl 0814.20058
idMR: MR1257934
DOI: 10.21136/CMJ.1994.128453
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Date available: 2009-09-24T09:35:59Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128453
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Reference: [1] F. Catino: On complete $\alpha $-ideals in semigroups.Czech. Math. J. 40(115) (1990), 155–158. Zbl 0704.20048, MR 1037353
Reference: [2] A. G. Kurosh: Lectures on general algebra.Chelsea, New York, 1963. MR 0158000
Reference: [3] M. M. Miccoli and B. Pondělíček: On $\alpha $-ideals and generalized $\alpha $-ideals in semigroups.Czech. Math. J. 39(114) (1989), 522–527. MR 1006318
Reference: [4] J. D. Monk and F. M. Sioson: $m$-Semigroups, semigroups and function representations.Fund. Math. 59 (1966), 233–241. MR 0206133, 10.4064/fm-59-3-233-241
Reference: [5] J. D. Monk and F. M. Sioson: On the general theory of $m$-groups.Fund. Math. 72 (1971), 233–244. MR 0294219, 10.4064/fm-72-3-233-244
Reference: [6] E. I. Sokolov: On the Gluskin-Hosszú theorem on the Dörnte $n$-groups (Russian).Mat. Issled. 39 (1976), 187–189. MR 0442135
Reference: [7] R. Šulka: On principal generalized $\alpha $-ideals and maximal principal generalized $\alpha $-ideals in the direct product of semigroups.PU.M.A. Ser. A 3(1) (1992), 3–8. MR 1217463
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